10142131110104 has 128 divisors (see below), whose sum is σ = 23125527475200. Its totient is φ = 4073198400000.

The previous prime is 10142131110091. The next prime is 10142131110109. The reversal of 10142131110104 is 40101113124101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142131110109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113974829 + ... + 114063779.

It is an arithmetic number, because the mean of its divisors is an integer number (180668183400).

Almost surely, 2^{10142131110104} is an apocalyptic number.

10142131110104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10142131110104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11562763737600).

10142131110104 is an abundant number, since it is smaller than the sum of its proper divisors (12983396365096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10142131110104 is a wasteful number, since it uses less digits than its factorization.

10142131110104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90145 (or 90141 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 10142131110104 its reverse (40101113124101), we get a palindrome (50243244234205).

The spelling of 10142131110104 in words is "ten trillion, one hundred forty-two billion, one hundred thirty-one million, one hundred ten thousand, one hundred four".